On the matrix equation XA+AXT=0XA+AX^T =0, II: Type 0-I interactions

preprint2013arXivOpen access

Abstract

The matrix equation XA+AXT=0XA + AX^T = 0 was recently introduced by De Terán and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been explicitly solved. In this note we obtain an explicit, closed-form solution in the difficult Type 0-I interaction case.

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